Question

Given the following data set, let *x* be the explanatory
variable and *y* be the response variable.

x |
8 | 2 | 2 | 6 | 6 | 3 | 1 |

y |
3 | 8 | 9 | 6 | 4 | 7 | 9 |

(a) If a least squares
line was fitted to this data, what percentage of the variation in
the *y* would be explained by the regression line? (Enter
your answer as a percent.)

ANSWER: %

(b) Compute the
correlation coefficient: *r*=

Answer #1

Given the following data set, let x be the explanatory variable
and y be the response variable. x 1 6 7 3 1 5 2 y 10 4 4 7 9 5 8
(a) If a least squares line was fitted to this data, what
percentage of the variation in the y would be explained by the
regression line? (Enter your answer as a percent.) ANSWER: % (b)
Compute the correlation coefficient: r=

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
28.8
90.1
30.6
139.6
12.6
42.2
18.1
94.8
13.9
28.5
31.9
102.4
-3.9
-13.4
16.7
57.1
11
55.8
16.8
76.3
31.7
80.1
43.5
123.8
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
48
41.8
39.2
67.4
34.7
68.4
42.9
50.2
49
50.6
45.6
57
58.7
29.7
40.5
68.4
47.4
34.7
45.7
50.9
38.9
47.7
40.9
53.6
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
81.1
86
77.5
60.4
92.7
126.5
104
132.5
85
53.1
64.3
95.5
64.6
31.7
39.7
5.7
82.3
121.3
82.4
98.2
29.2
-50.2
34.2
-1
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
51.3
17.4
60.8
88.6
37.4
32.9
44.6
53.4
53.7
53.6
52.2
41.5
32.7
28.6
62.4
84.7
47.4
35.7
39.8
33.7
62.1
123
62
83.7
Find the correlation coefficient and report it accurate to three
decimal places.
r = _______
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a...

1. Here is a bivariate data set.
x
y
49.7
34.8
43.9
30.9
48
30
46.3
32
46.9
30.3
46.2
34.6
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place.
r² = %
2. You run a regression analysis on a bivariate set of data
(n=71). With...

For the following data set: x| 8,4,6,12,-9,-3,5,-11 y|
4,3,31,59,0,4,-3,-16 A. Use TI 84 calculator to compute the
coefficient of determination. round answer to 3 decimal places. B.
How much of the variation in the outcome variable that is explained
by at least -squares regression line?

Here is a bivariate data set.
x
y
15.9
16.9
83.4
53.9
43.8
22.2
49.4
49.3
58.4
11.8
77.4
38.8
19.6
19.5
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place.
r² = %
2. Run a regression analysis on the following bivariate set of
data with...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
31
131.5
32.7
88.1
45.9
52.1
51.8
47
65.8
30.1
58.4
36.4
84.5
-92.1
25.3
103.4
49.8
37.5
4.6
127.3
46.6
32.1
75.2
-12.4
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
69
25.6
87.1
99.4
80.3
77.2
100.4
148
38.1
4.6
99.7
116.2
82.7
74.6
98
100.3
78.5
65.9
93.4
117.5
82.7
106.4
85
52.3
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

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